Questions: Enter the decimal equivalent of the exponent of the following floating point binary number. 1000001101.01100000000000000000000 Decimal exponent: Ex:10

Solution Steps

To find the decimal equivalent of the exponent of the given floating-point binary number, we need to follow these steps:

1. Identify the position of the binary point.
2. Count the number of places the binary point has moved to normalize the number.
3. Convert this count to its decimal equivalent.

The given binary floating-point number is \( 1000001101.01100000000000000000000 \).

To normalize the number, we need to express it in the form \( 1.xxxxx \times 2^n \). The binary point moves to the right of the first '1' in the integer part. In this case, the binary point moves 9 places to the left.

The number of places the binary point has moved gives us the exponent. Thus, the exponent \( n \) is equal to 9.

Final Answer